We follow the strategy in [1]} where the case \(k=1\)  was studied. Since singularity of the multiplier lies on the codimension 2 sphere \(S^{d-2}\times \lbrace 0\rbrace =\lbrace \xi \in {\mathbb {R}}^d\colon |\xi |=1, \xi _d=0\rbrace \) , we dyadically decompose the multiplier away from the sphere.
